6 Ergebnisse.

A state-of-the-art edited survey covering all aspects of sampling theory. Theory, methods and applications are discussed in authoritative expositions ranging from multi-dimensional signal analysis to wavelet transforms. The book is an essential up-to-date resource.

Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis. The advent of new techniques in mathematical analysis has strengthened their interdependence and led to some new and interesting results in the field. This state-of-the-art book not only presents new results in these research areas, but it also demonstrates the role of sampling...

A paean to twentieth century analysis, this modern text has several important themes and key features which set it apart from others on the subject. A major thread throughout is the unifying influence of the concept of absolute continuity on differentiation and integration. This leads to fundamental results such as the Dieudonné–Grothendieck theorem and other intricate developments dealing with weak convergence of measures.Key Features:* Fasci...

The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians

Purpose The major topic in this book is spectral synthesis. The purpose of the book can be described as follows: A. To trace the development of spectral synthesis from its origins in the study of Tauberian theorems, B. To draw attention to other mathematical areas which are related to spectral syn­ thesis, C. To give a thorough (although not encyclopedic) treatment of spectral synthesis for 1 the case of L ( G), D. To introduce the "integratio...

Some analytic problems related to statistical mechanics.- On spectral synthesis in ?n, n ? 2.- Spectral synthesis and stability in Sobolev spaces.- Fourier analysis of multilinear convolutions, Calder¿n's theorem, and analysis on Lipschitz curves.- The complex method for interpolation of operators acting on families of Banach spaces.- Maximal functions: A problem of A. Zygmund.- Multipliers of F(LP).